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8000117 is a prime number
BaseRepresentation
bin11110100001001001110101
3120001110002122
4132201021311
54022000432
6443245325
7124666646
oct36411165
916043078
108000117
114574674
122819845
1318714c8
1410c36cd
15a80612
hex7a1275

8000117 has 2 divisors, whose sum is σ = 8000118. Its totient is φ = 8000116.

The previous prime is 8000101. The next prime is 8000119. The reversal of 8000117 is 7110008.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7623121 + 376996 = 2761^2 + 614^2 .

It is a cyclic number.

It is not a de Polignac number, because 8000117 - 24 = 8000101 is a prime.

Together with 8000119, it forms a pair of twin primes.

It is a Chen prime.

8000117 is a modest number, since divided by 117 gives 8 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 8000095 and 8000104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8000119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4000058 + 4000059.

It is an arithmetic number, because the mean of its divisors is an integer number (4000059).

Almost surely, 28000117 is an apocalyptic number.

It is an amenable number.

8000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

8000117 is an equidigital number, since it uses as much as digits as its factorization.

8000117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 8000117 is about 2828.4478075439. The cubic root of 8000117 is about 200.0009749952. Note that the first 3 decimals are identical.

The spelling of 8000117 in words is "eight million, one hundred seventeen", and thus it is an aban number.